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Two thin, long, parallel wires, separate...

Two thin, long, parallel wires, separated by a distance 'd' carry a current of 'i' A in the same direction. They will

A

attract each other with a force of

B

repel, each other with a force of `(mu_(0)l^(2))/((2pid))`

C

attract, each other with a force of `(mu_(0)l^(2))/((2pid^(2)))`

D

repel each other with a force of `(mu_(0)l^(2))/((2pid^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
1

The force per unit length between the two wires is
`F/1=mu_(0)/(4pi),(2i_(2))/d=(mu_(0)i^(2))/(2pid)`
The force will be attractive as current directions in both are some.
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Knowledge Check

  • Two long parallel wires are separated by a distance of 2m. They carry a current of 1A each in opposite direction. The magnetic induction at the midpoint of a straight line connecting these two wires is

    A
    zero
    B
    `2xx10^(-7)T`
    C
    `4xx10^(-5)T`
    D
    `4xx10^(-7)T`
  • Two long straight parallel conductors separated by a distance of 0.5m carry currents of 5A and 8A in the same direction. The force per unit length experienced by each other is

    A
    `1.6xx10^(-5)N` (attractive)
    B
    `1.6xx10^(-5)N` (repulsive)
    C
    `16xx10^(-5)N` (attractive)
    D
    `16xx10^(-5)N` (repulsive)
  • Two thin long parallel wires seperated by a distance 'b' are carrying a current ' I' amp each . The magnitude of the force3 per unit length exerted by one wire on the other is

    A
    ` (mu_(0)i^(2))/(b^(2))`
    B
    ` (mu_(0)i^(2))/(2 pib)`
    C
    ` (mu_(0)i^(2))/( 2 pib)`
    D
    ` (mu_(0)i^(2))/(2 pi b^(2))`
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